8-98. Show that the frictional relationship between the belt tensions, the coefficient of friction µ,and the angular contacts a and ß for the V-belt is T₂ = T₁ e/ sin(a/2).Problem 8-98ImpendingmotionT₂

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Answered: 8-98. Show that the frictional…

8-98. Show that the frictional relationship between the belt tensions, the coefficient of friction μ, and the angular contacts a and ß for the V-belt is T₂ = T₁ e sin(a/2)

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.58P: The screw of the carjack has a pitch of 0.1 in. and a mean radius of 0.175 in. Note that the ends of...

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Concept explainers

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

Question

8-98. Show that the frictional relationship between the belt tensions, the coefficient of friction µ,
and the angular contacts a and ß for the V-belt is T₂ = T₁ e/ sin(a/2).
Problem 8-98
Impending
motion
T₂

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Step 1: Write the given data

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Step 2: Draw the free body diagram and express dT in terms of N & coefficient of friction:

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Step 3: Express dN in terms of Tension & angle theta:

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Step 4: Equate equation 1 and equation 2 to determine the final expression:

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